How do I scale vertices evenly among a selection?
I have found the solution to my problem. As it turns out, I was using the wrong tool for the job. The proper way to scale something evenly across all sides is to use "Shrink/Fatten" by pressing Alt+S. Once I begin shrinking or fattening my object, I only need to press S to make all the edges even, and I can adjust it to my liking.